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Browsing Mathematics, Department of by Subject "Neumann Laplacian"

Browsing Mathematics, Department of by Subject "Neumann Laplacian"

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  • Burdzy, Krzysztof; Chen, Zhen-Qing (2005)
    We discuss the relationships between the notion of intrinsic ultracontractivity, parabolic Harnack principle, compactness of the 1-resolvent of the Neumann Laplacian, and non-trap property for Euclidean domains with finite ...
  • Burdzy, Krzysztof (Duke University Press, 2005)
    There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.
  • Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald E. (Springer-Verlag GmbH, 2005-08-16)
    Consider an open set D [is an element of the set] R [The set of Real Numbers] [superscript]d, d [is greater than or equal to] 2, and a closed ball B [is a proper subset of] D. Let E[superscript]xT[subscript]B denote the ...

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